書誌事項

Surface topology

P.A. Firby, C.F. Gardiner

(Ellis Horwood series in mathematics and its applications)

Ellis Horwood, 1991

2nd ed

  • : pbk

大学図書館所蔵 件 / 6

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This text examines the topology of compact surfaces through the development of some simple ideas in place geometry, an approach which allows a treatment of an area of mathematics that is particularly attractive both for the richness of its applications, and for the variety of its interactions with other branches of mathematics. A wide variety of topics are linked with surface topology, such as graph theory, group theory, vector field theory and plane Euclidean and non-Euclidean geometry. Each topic is treated from its beginnings, thus offering a bird's eye view of many branches of mathematics. The author's introductions are presented in simple terms and, for those who wish to extend their knowledge of the topics discussed, a bibliography is provided.

目次

  • Intuitive ideas
  • plane models of surfaces
  • surfaces as plane diagrams
  • distinguishing surfaces
  • patterns on surfaces
  • maps and graphs
  • vector fields on surfaces
  • plane tesselation representation of computer surfaces
  • some applications of tesselation representations
  • introducing the fundamental group.

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